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Simplifying 6(v + 5) = 12 + 3v Reorder the terms: 6(5 + v) = 12 + 3v (5 * 6 + v * 6) = 12 + 3v (30 + 6v) = 12 + 3v Solving 30 + 6v = 12 + 3v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '-3v' to each side of the equation. 30 + 6v + -3v = 12 + 3v + -3v Combine like terms: 6v + -3v = 3v 30 + 3v = 12 + 3v + -3v Combine like terms: 3v + -3v = 0 30 + 3v = 12 + 0 30 + 3v = 12 Add '-30' to each side of the equation. 30 + -30 + 3v = 12 + -30 Combine like terms: 30 + -30 = 0 0 + 3v = 12 + -30 3v = 12 + -30 Combine like terms: 12 + -30 = -18 3v = -18 Divide each side by '3'. v = -6 Simplifying v = -6
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